Best proximity point theorems for weak cyclic Bianchini contractions


Petric, Mihaela Ancuţa


Abstract

creative_2018_27_1_71_78_abstract

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Following the technique introduced in [Eldred, A. A. and Veeramani, P., Existence and convergence of best proximity points, J. Math. Anal. Appl., 323 (2006), 1001–1006], in this paper we will extend Bianchini’s fixed point theorem to best proximity point type theorem. We introduce a new class of contractive conditions, called weak cyclic Bianchini contractions.

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Author(s)

Petric, Mihaela Ancuţa